Perpendicular Bisector and Angle Bisector Theorem

Front

What is a perpendicular bisector?

Back

A line that divides a segment into two equal parts at a 90-degree angle.

Front

State the Perpendicular Bisector Theorem.

Back

If a point is on the perpendicular bisector of a segment, then it is equidistant from the endpoints of the segment.

Front

What is an angle bisector?

Back

A ray that divides an angle into two equal angles.

Front

State the Angle Bisector Theorem.

Back

If a point is on the angle bisector, then it is equidistant from the sides of the angle.

Front

Find the measure of angle JKM if it is a right angle.

Back

90°.

Front

If the measure of angle JKL is 76° and JKM is its bisector, what is m

Back

38°.

Front

Solve for x if 2x + 4 = 20.

Back

x = 8.

Front

Solve for x if 3x - 4 = 2.

Back

x = 2.

Front

If S is the length of a segment and S = 25, what is the value of S?

Back

25.

Front

What is the value of 'a' if it is an angle measuring 75°?

Back

75°.